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3 years ago

Find the total surface area of this triangular prism.

Mathematics

1 answer:

Zinaida [17]3 years ago

4 0

Answer:

The surface area of the prism is 144cm²

Step-by-step explanation:

First of all we need to calculate the area of the triangle

a = area of triangle

a = (8 cm * 6 cm) / 2

a = 48cm² / 2

a = 24cm²

Now we have to calculate the 3 areas of the rectangles

a1 = 4cm * 10cm

a1 = 40cm²

a2 = 4cm * 8cm

a2 = 32cm²

a3 = 4cm *6cm

a3 = 24cm²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

40cm² + 32cm² + 24cm² + 2 * 24cm²

144cm²

The surface area of the prism is 144cm²

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